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Finding the Fourth Proportional to 564,689.69, 779,273.10 and 310,057.28

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Solution

The fourth proportional to 564,689.69, 779,273.10 and 310,057.28 is: 427,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,689.69 : 779,273.10 = 310,057.28 : x
  2. Step 2: Convert to fraction form
    564,689.69/779,273.10 = 310,057.28/x
  3. Step 3: Cross multiply
    564,689.69x = 779,273.10 × 310,057.28
  4. Step 4: Simplify right side
    564,689.69x = 241,619,293,866.80
  5. Step 5: Solve for x
    x = 241,619,293,866.80/564,689.69
  6. Step 6: Final answer
    x = 427,879.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.